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Finding the Fourth Proportional to 4,718.24, 6,514 and 2,952.24

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Solution

The fourth proportional to 4,718.24, 6,514 and 2,952.24 is: 4,075.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,718.24 : 6,514 = 2,952.24 : x
  2. Step 2: Convert to fraction form
    4,718.24/6,514 = 2,952.24/x
  3. Step 3: Cross multiply
    4,718.24x = 6,514 × 2,952.24
  4. Step 4: Simplify right side
    4,718.24x = 19,230,891.36
  5. Step 5: Solve for x
    x = 19,230,891.36/4,718.24
  6. Step 6: Final answer
    x = 4,075.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.